We consider the k-encoder source coding problem with a quadratic distortion measure. We show that among all source distributions with a given covariance matrix K, the jointly Gaussian source requires the highest rates in order to meet a given set of distortion constraints.
@article{arxiv.1208.1784,
title = {Worst-Case Source for Distributed Compression with Quadratic Distortion},
author = {Ilan Shomorony and A. Salman Avestimehr and Himanshu Asnani and Tsachy Weissman},
journal= {arXiv preprint arXiv:1208.1784},
year = {2016}
}
Comments
To be presented at the IEEE Information Theory Workshop (ITW) 2012